Question

Which one of the following sets of numbers represents the lengths of the sides of a right triangle?

- 9, 40, 42
- 5, 10, 15
- 6, 8, 10
- 13, 35, 37

Answer 1

If a, b and c are the length of the sides of a right triangle and a ≤ b < c, then

a² + b² = c²

(1) 9, 40, 42

9² + 40² = 42²

81 + 1600 = 1764

1681 = 1764 FLASE

(2) 5, 10, 15

5² + 10² = 15²

25 + 100 = 225

125 = 225 FALSE

(3) 6, 8, 10

6² + 8² = 10²

36 + 64 = 100

100 = 100 TRUE

(4) 13, 35, 37

13² + 35² = 37²

169 + 1225 = 1369

1394 = 1369 FALSE

Answer: 6, 8, 10.